The two-volume course "Fundamentals of Theoretical Physics" is an introduction to theoretical physics. The first volume of the textbook contains a concise and clear statement of the basics of mechanics, the theory of relativity and electrodynamics. Strict and detailed mathematical calculations facilitate the assimilation of material . A mathematical application relieves the reader of the need to refer to mathematics manuals. The textbook is addressed to students of universities studying in the areas of training and specialties included in the UGS : "Electronics, radio engineering and communication systems", "Electrical and thermal engineering", "Physical and technical sciences and technologies", "Mechanical engineering", "Materials technologies", "Aviation and rocket and space technology" and other engineering and technical areas of training . May be useful for teachers of physics of technical universities .